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Finding the Fourth Proportional to 512,732.54, 707,585.17 and 283,304.61

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Solution

The fourth proportional to 512,732.54, 707,585.17 and 283,304.61 is: 390,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,732.54 : 707,585.17 = 283,304.61 : x
  2. Step 2: Convert to fraction form
    512,732.54/707,585.17 = 283,304.61/x
  3. Step 3: Cross multiply
    512,732.54x = 707,585.17 × 283,304.61
  4. Step 4: Simplify right side
    512,732.54x = 200,462,138,329.32
  5. Step 5: Solve for x
    x = 200,462,138,329.32/512,732.54
  6. Step 6: Final answer
    x = 390,968.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.